Less singular quasicrystals: life in low codimensions
Disordered Systems and Neural Networks
2009-11-07 v2 Mesoscale and Nanoscale Physics
Abstract
The Rauzy tilings were proposed recently in a generalisation of the Fibonacci chain by Vidal and Mosseri. These tilings have a particularly simple theoretical description, making them appealing candidates for analytical solutions for electronic properties. We show by a numerical study of statistical properties of the tight-binding spectra that these tilings fall in an intermediate category between the crystal and the quasicrystal, i.e. in a class of almost integrable models.
Cite
@article{arxiv.cond-mat/0105501,
title = {Less singular quasicrystals: life in low codimensions},
author = {A. Jagannathan},
journal= {arXiv preprint arXiv:cond-mat/0105501},
year = {2009}
}
Comments
5 pages (with 6 figures), some modifications of text and figures, final version of paper accepted for publication in Phys.Rev.B